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Finding the Fourth Proportional to 384,777.10, 577,165.65 and 195,164.20

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Solution

The fourth proportional to 384,777.10, 577,165.65 and 195,164.20 is: 292,746.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,777.10 : 577,165.65 = 195,164.20 : x
  2. Step 2: Convert to fraction form
    384,777.10/577,165.65 = 195,164.20/x
  3. Step 3: Cross multiply
    384,777.10x = 577,165.65 × 195,164.20
  4. Step 4: Simplify right side
    384,777.10x = 112,642,072,349.73
  5. Step 5: Solve for x
    x = 112,642,072,349.73/384,777.10
  6. Step 6: Final answer
    x = 292,746.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.